Multiple Comparison Procedures for Exponential Mean Lifetimes Compared with Several Controls
Under heteroscedasticity, we propose one-stage multiple comparison procedures for several treatment groups compared with several control groups in terms of exponential mean lifetimes. The simultaneous confidence intervals including one-sided and two-sided confidence intervals for the difference betw...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/4/609 |
| _version_ | 1797478377283649536 |
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| author | Shu-Fei Wu |
| author_facet | Shu-Fei Wu |
| author_sort | Shu-Fei Wu |
| collection | DOAJ |
| description | Under heteroscedasticity, we propose one-stage multiple comparison procedures for several treatment groups compared with several control groups in terms of exponential mean lifetimes. The simultaneous confidence intervals including one-sided and two-sided confidence intervals for the difference between the mean lifetime from the <i>i</i>-th treatment group and the mean lifetime from the <i>j</i>-th control group are developed in this research. The required critical values are obtained and tabulated for the practical use of users. The experimenters can use these simultaneous confidence intervals to determine whether the treatment mean lifetimes are better than several controls or worse than several controls under a specified confidence level. Finally, one example of comparing the mean duration of remission using four drugs for treating leukemia is used for the aims of illustrations. |
| first_indexed | 2024-03-09T21:31:02Z |
| format | Article |
| id | doaj.art-fd01823abb1040df8804ca4fd94f52cb |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T21:31:02Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-fd01823abb1040df8804ca4fd94f52cb2023-11-23T20:57:24ZengMDPI AGMathematics2227-73902022-02-0110460910.3390/math10040609Multiple Comparison Procedures for Exponential Mean Lifetimes Compared with Several ControlsShu-Fei Wu0Department of Statistics, Tamkang University, Taipei 251301, TaiwanUnder heteroscedasticity, we propose one-stage multiple comparison procedures for several treatment groups compared with several control groups in terms of exponential mean lifetimes. The simultaneous confidence intervals including one-sided and two-sided confidence intervals for the difference between the mean lifetime from the <i>i</i>-th treatment group and the mean lifetime from the <i>j</i>-th control group are developed in this research. The required critical values are obtained and tabulated for the practical use of users. The experimenters can use these simultaneous confidence intervals to determine whether the treatment mean lifetimes are better than several controls or worse than several controls under a specified confidence level. Finally, one example of comparing the mean duration of remission using four drugs for treating leukemia is used for the aims of illustrations.https://www.mdpi.com/2227-7390/10/4/609one-stage proceduremultiple comparison with the controlmultiple comparison with several controlsexponential distribution |
| spellingShingle | Shu-Fei Wu Multiple Comparison Procedures for Exponential Mean Lifetimes Compared with Several Controls Mathematics one-stage procedure multiple comparison with the control multiple comparison with several controls exponential distribution |
| title | Multiple Comparison Procedures for Exponential Mean Lifetimes Compared with Several Controls |
| title_full | Multiple Comparison Procedures for Exponential Mean Lifetimes Compared with Several Controls |
| title_fullStr | Multiple Comparison Procedures for Exponential Mean Lifetimes Compared with Several Controls |
| title_full_unstemmed | Multiple Comparison Procedures for Exponential Mean Lifetimes Compared with Several Controls |
| title_short | Multiple Comparison Procedures for Exponential Mean Lifetimes Compared with Several Controls |
| title_sort | multiple comparison procedures for exponential mean lifetimes compared with several controls |
| topic | one-stage procedure multiple comparison with the control multiple comparison with several controls exponential distribution |
| url | https://www.mdpi.com/2227-7390/10/4/609 |
| work_keys_str_mv | AT shufeiwu multiplecomparisonproceduresforexponentialmeanlifetimescomparedwithseveralcontrols |